450224415215406 has 288 divisors, whose sum is σ = 1161397612964160. Its totient is φ = 125407046209536.

The previous prime is 450224415215353. The next prime is 450224415215413. The reversal of 450224415215406 is 604512514422054.

450224415215406 is a `hidden beast` number, since 4 + 5 + 0 + 2 + 2 + 441 + 52 + 154 + 0 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 393851940 + ... + 394993416.

It is an arithmetic number, because the mean of its divisors is an integer number (4032630600570).

Almost surely, 2^{450224415215406} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450224415215406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580698806482080).

450224415215406 is an abundant number, since it is smaller than the sum of its proper divisors (711173197748754).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

450224415215406 is a wasteful number, since it uses less digits than its factorization.

450224415215406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141820 (or 1141804 counting only the distinct ones).

The product of its (nonzero) digits is 1536000, while the sum is 45.

The spelling of 450224415215406 in words is "four hundred fifty trillion, two hundred twenty-four billion, four hundred fifteen million, two hundred fifteen thousand, four hundred six".